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How many square yards of carpet should be ordered, rounded to the nearest tenth.

How many square yards of carpet should be ordered, rounded to the nearest tenth.-example-1
User Nils Guillermin
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1 Answer

26 votes
26 votes

The dimension for the first room is


=12ft\text{ by 12ft}

By conversion,


1squareyard=0.111\text{ square f}eet

The area of the first room will be


\begin{gathered} =l* b \\ =12ft*12ft \\ =144ft^2 \end{gathered}

The second room has a dimension of


=10ft\text{ b}y\text{ 14ft}

The area of the second room will be


\begin{gathered} =l* b \\ =10ft*14ft \\ =140ft^2 \end{gathered}

The dimension of the third room is


21ft\text{ by 20ft}

The area of the third room will be


\begin{gathered} =l* b \\ =21ft*20ft \\ =420ft^2 \end{gathered}

The total area of the three rooms will be


\begin{gathered} =144ft^2+140ft^2+420ft^2 \\ =704ft^2 \end{gathered}

Recall that


\begin{gathered} 1squareyard=0.111\text{ square f}eet \\ 1squareyard=(1)/(9)ft^2 \end{gathered}

The final answer to be converted to the squared yard would be divide by 9


\begin{gathered} =(704)/(9)sq\text{ yd} \\ =78.222\text{ sq yd} \\ \approx\text{ to the nearest tenth= 78.2 sq yd} \end{gathered}

Hence,

The number of square yards of carpet to be ordered = 78.2 sq yd

User Gizel
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